Finding the Third Proportional to 2,393.30 and 3,640.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,393.30 : 3,640.57 = 3,640.57 : x
2. Step 2: Convert to fraction form
   2,393.30/3,640.57 = 3,640.57/x
3. Step 3: Cross multiply
   2,393.30x = 3,640.57 × 3,640.57
4. Step 4: Simplify right side
   2,393.30x = 13,253,752.20
5. Step 5: Solve for x
   x = 13,253,752.20/2,393.30
6. Step 6: Final answer
   x = 5,537.86